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Finding the Fourth Proportional to 74.76, 103.06 and 56.36

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Solution

The fourth proportional to 74.76, 103.06 and 56.36 is: 77.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.76 : 103.06 = 56.36 : x
  2. Step 2: Convert to fraction form
    74.76/103.06 = 56.36/x
  3. Step 3: Cross multiply
    74.76x = 103.06 × 56.36
  4. Step 4: Simplify right side
    74.76x = 5,808.46
  5. Step 5: Solve for x
    x = 5,808.46/74.76
  6. Step 6: Final answer
    x = 77.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.